10016761372800 has 1536 divisors, whose sum is σ = 42262015057920. Its totient is φ = 2028991610880.

The previous prime is 10016761372799. The next prime is 10016761372831. The reversal of 10016761372800 is 827316761001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2176135299 + ... + 2176139901.

It is an arithmetic number, because the mean of its divisors is an integer number (27514332720).

Almost surely, 2^{10016761372800} is an apocalyptic number.

10016761372800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10016761372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21131007528960).

10016761372800 is an abundant number, since it is smaller than the sum of its proper divisors (32245253685120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10016761372800 is a wasteful number, since it uses less digits than its factorization.

10016761372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 10016761372800 in words is "ten trillion, sixteen billion, seven hundred sixty-one million, three hundred seventy-two thousand, eight hundred".